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Finding the Fourth Proportional to 1,691.66, 2,532.18 and 1,076.06

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Solution

The fourth proportional to 1,691.66, 2,532.18 and 1,076.06 is: 1,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.66 : 2,532.18 = 1,076.06 : x
  2. Step 2: Convert to fraction form
    1,691.66/2,532.18 = 1,076.06/x
  3. Step 3: Cross multiply
    1,691.66x = 2,532.18 × 1,076.06
  4. Step 4: Simplify right side
    1,691.66x = 2,724,777.61
  5. Step 5: Solve for x
    x = 2,724,777.61/1,691.66
  6. Step 6: Final answer
    x = 1,610.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.